They want to sit down face to face. That seems reasonable. At this point, you need to have some openness to options. Rather than making a quick judgment over the phone, it might really be a good idea to sit down for a whole session and really have time to have a real interaction with potential therapists (not just a quick drive-by). Yes, it may take some time to go through this process, but at this point, you might as well get started and try to stay open to these other therapists as options. Don't throw up barriers to help that can be perhaps overcome with a bit of time and patience and willingness to explore options.